Answer: A = 70 degrees
Explanation:
The given triangle is a right triangle. Considering angle A as the reference angle,
opposite side = BC = 11
adjacent side = AC = 4
We would find the measure of angle A by applying the tangent trigonometric ratio which is expressed as
tanθ = opposite side/adjacent side
By substituting the given values, we have
tanA = 11/4
tanA = 2.75
We would find the measure of angle A by finding the inverse of tan 2.75. Thus,
A = tan^-1(2.75)
A = 70.01689
Rounding to the nearest tenth,
A = 70 degrees
